Finite Group Databasebeta

D23×#431 #15682009

order2944
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4

Aliases

direct productD23×#431

Splittings

FittingC23×#431 ⋊ C2
SylowC23 ⋊ C2×#431

Subgroups

subgroupG/H
centerC42C22×D23
commutatorC2×C23C23×C8
FrattiniC2×C4C23×D23
FittingC23×#431C2
socleC22×C23C23×C4
prime radicalC23×D23C2×C4
cosocleC2×C4×C23C24
hypercenter#431D23
hypocenterC23C2×#431
LCSG ▷ C2×C23 ▷ C23
UCSC1 ◁ C42 ◁ #431

528 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 736

Conjugacy classes & character table

520 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 13122);